package com.offer;


import com.utils.DataUtils;

public class Test47 {

    public int maxValue(int[][] grid) {
        int m = grid.length;
        int n = grid[0].length;

        for (int i = 1; i < n; i++) {
            grid[0][i] = grid[0][i - 1] + grid[0][i];
        }

        for (int i = 1; i < m; i++) {
            grid[i][0] = grid[i - 1][0] + grid[i][0];
        }

        for (int i = 1; i < m; i++) {
            for (int j = 1; j < n; j++) {
                grid[i][j] = Math.max(grid[i - 1][j], grid[i][j - 1]) + grid[i][j];
            }
        }

        return grid[m - 1][n - 1];
    }

    public static void main(String[] args) {

        Test47 test = new Test47();
        int[][] grid = DataUtils.string2DoubleArrayInteger("[[1,3,1],[1,5,1],[4,2,1]]");
        DataUtils.printDoubleArrayByInt(grid);


        System.out.println(test.maxValue(grid));

        DataUtils.printDoubleArrayByInt(grid);
    }

}
